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If sqrt(2)=1.414, sqrt(3)=1.732 and sqrt...

If `sqrt(2)=1.414, sqrt(3)=1.732` and `sqrt(5)=2.236`, find the values of the following.
(i) `sqrt(98)` (ii) `sqrt(300)`
(iii) `sqrt(128)+sqrt(48)` (iv) `2sqrt(75)-3sqrt(12)`

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The correct Answer is:
`6.928`
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PEARSON IIT JEE FOUNDATION-INDICES-Test Your Concepts (Short Answer Type Questions)
  1. If sqrt(2)=1.414, sqrt(3)=1.732 and sqrt(5)=2.236, find the values of ...

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  2. If sqrt(2)=1.414, sqrt(3)=1.732 and sqrt(5)=2.236, find the values of ...

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  3. If sqrt(2)=1.414, sqrt(3)=1.732 and sqrt(5)=2.236, find the values of ...

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  4. If 21168=x^(4)xxy^(3)xxz^(2), find (x+y+z)^((y+z)/(x+y)), where x, y a...

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  5. Simplify (5(81)^(n+1)-3^(4n+5))/(3xx3^(4n)+(81)^n).

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  6. (1) If 5^(n+2)=625 ,f i n d[(n+3)]^(1/3): (2) If (32/243)^n=8/27 ,f i...

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  7. If ((32)/(243))^(n)= (8)/(27), then find ((n+0.4)/(1024))^(-n)

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  8. simplify (2^(2/3)-2^(- 2/3))(2^(4/3)+1+2^(- 4/3))

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  9. (i) Simplify (2^(2/3)-2^((-2)/3))(2^(4/3)+1+2^((-4)/3)) (ii) [(root(...

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  10. If 16200=2^(a)xx3^(b)xx^(c), then find a, b, c.

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  11. Simplify ((p^(a))/(p^(b))) xx ((p^(b))/(p^(c ))) xx ((p^(c ))/(p^(a)))...

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  12. If [root(9)((2/3)^5)]^(sqrt(x-5)) = a^0, find the value of x.

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  13. Simplify ((p^(a+b))^(5).(p^(b+c))^(5).(p^(c+a))^(5))/((p^(a). p^(b). p...

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  14. If 5^(3x+2)=25xx5^((4x-1)), find the value of x.

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  15. Which of the following is greater between each of the two numbers ? ...

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  16. Which of the following is greater between each of the two numbers ? ...

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  17. Which of the following is greater between each of the two numbers ? ...

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  18. If 5^x=3^y=45^z, prove that 1/z=1/x+2/y.

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  19. Prove that 1/(1+p+q^(- 1))+1/(1+q+r^(- 1))+1/(1+r+p^(- 1))=1,if pqr=1 ...

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  20. ((a+b+c)^(a+b)(a+b+c)^(b+c)(a+b+c)^(c+a))/([(a+b+c)^(a) (a+b+c)^(b) (a...

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